@article {Al87,
	AUTHOR = {Alperin, Roger C.},
	TITLE = {An elementary account of {S}elberg's lemma},
	JOURNAL = {Enseign. Math. (2)},
	FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. 2e S\'erie},
	VOLUME = {33},
	YEAR = {1987},
	NUMBER = {3-4},
	PAGES = {269--273},
	ISSN = {0013-8584},
	MRCLASS = {20H20},
	MRNUMBER = {925989},
	MRREVIEWER = {A. E. Zalesski\u\i },
}

@article {AL70,
	AUTHOR = {Atkin, A. O. L. and Lehner, J.},
	TITLE = {Hecke operators on {$\Gamma _{0}(m)$}},
	JOURNAL = {Math. Ann.},
	FJOURNAL = {Mathematische Annalen},
	VOLUME = {185},
	YEAR = {1970},
	PAGES = {134--160},
	ISSN = {0025-5831},
	MRCLASS = {10.20},
	MRNUMBER = {0268123},
	MRREVIEWER = {R. A. Rankin},
	URL = {https://doi.org/10.1007/BF01359701},
}

@book {AM04,
	AUTHOR = {Adem, Alejandro and Milgram, R. James},
	TITLE = {Cohomology of finite groups},
	SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
	Principles of Mathematical Sciences]},
	VOLUME = {309},
	EDITION = {Second},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {2004},
	PAGES = {viii+324},
	ISBN = {3-540-20283-8},
	MRCLASS = {20J06 (18G99 55R35 55R40)},
	MRNUMBER = {2035696},
	DOI = {10.1007/978-3-662-06280-7},
}

@book {Bea95,
	AUTHOR = {Beardon, Alan F.},
	TITLE = {The geometry of discrete groups},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {91},
	NOTE = {Corrected reprint of the 1983 original},
	PUBLISHER = {Springer-Verlag, New York},
	YEAR = {1995},
	PAGES = {xii+337},
	ISBN = {0-387-90788-2},
	MRCLASS = {22E40 (11F06 20H15 30F35 57N10)},
	MRNUMBER = {1393195},
}

@article {BMS67,
	AUTHOR = {Bass, H. and Milnor, J. and Serre, J.-P.},
	TITLE = {Solution of the congruence subgroup problem for {${\rm
	SL}_{n}\,(n\geq 3)$} and {${\rm Sp}_{2n}\,(n\geq 2)$}},
	JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
	FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
	Math\'ematiques},
	NUMBER = {33},
	YEAR = {1967},
	PAGES = {59--137},
	ISSN = {0073-8301},
	MRCLASS = {14.50 (20.00)},
	MRNUMBER = {0244257},
	MRREVIEWER = {R. Steinberg},
}


@book {BGV04,
	AUTHOR = {Berline, Nicole and Getzler, Ezra and Vergne, Mich{\`e}le},
	TITLE = {Heat kernels and {D}irac operators},
	SERIES = {Grundlehren Text Editions},
	NOTE = {Corrected reprint of the 1992 original},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {2004},
	PAGES = {x+363},
	ISBN = {3-540-20062-2},
	MRCLASS = {58J35 (35K05 35Q40 47G30 58J60)},
	MRNUMBER = {2273508 (2007m:58033)},
}

@article {BN81,
	AUTHOR = {B\'ayer, Pilar and Neukirch, J\"urgen},
	TITLE = {On automorphic forms and {H}odge theory},
	JOURNAL = {Math. Ann.},
	FJOURNAL = {Mathematische Annalen},
	VOLUME = {257},
	YEAR = {1981},
	NUMBER = {2},
	PAGES = {137--155},
	ISSN = {0025-5831},
	MRCLASS = {10D15 (10D45 14C30 14F40)},
	MRNUMBER = {634458},
	MRREVIEWER = {Steven M. Zucker},
	DOI = {10.1007/BF01458280},
}

@article {BCDT,
	AUTHOR = {Breuil, Christophe and Conrad, Brian and Diamond, Fred and
	Taylor, Richard},
	TITLE = {On the modularity of elliptic curves over {$\bold Q$}: wild
	3-adic exercises},
	JOURNAL = {J. Amer. Math. Soc.},
	FJOURNAL = {Journal of the American Mathematical Society},
	VOLUME = {14},
	YEAR = {2001},
	NUMBER = {4},
	PAGES = {843--939},
	ISSN = {0894-0347},
	MRCLASS = {11G05 (11F80 11G07 14G35)},
	MRNUMBER = {1839918},
	MRREVIEWER = {Karl Rubin},
	DOI = {10.1090/S0894-0347-01-00370-8},
}

@book {Bou68,
	AUTHOR = {Bourbaki, N.},
	TITLE = {\'{E}l\'ements de math\'ematique. {F}asc. {XXXIV}. {G}roupes
	et alg\`ebres de {L}ie. {C}hapitre {IV}: {G}roupes de
	{C}oxeter et syst\`emes de {T}its. {C}hapitre {V}: {G}roupes
	engendr\'es par des r\'eflexions. {C}hapitre {VI}: syst\`emes
	de racines},
	SERIES = {Actualit\'es Scientifiques et Industrielles, No. 1337},
	PUBLISHER = {Hermann, Paris},
	YEAR = {1968},
	PAGES = {288 pp.},
	MRCLASS = {22.50 (17.00)},
	MRNUMBER = {0240238},
	MRREVIEWER = {G. B. Seligman},
}

@book {Br94,
	AUTHOR = {Brown, Kenneth S.},
	TITLE = {Cohomology of groups},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {87},
	NOTE = {Corrected reprint of the 1982 original},
	PUBLISHER = {Springer-Verlag, New York},
	YEAR = {1994},
	PAGES = {x+306},
	ISBN = {0-387-90688-6},
	MRCLASS = {20J05 (20-02)},
	MRNUMBER = {1324339},
}

@Book{Bu97,
	Author = {Daniel {Bump}},
	Title = {{Automorphic forms and representations. Paperback edition.}},
	Edition = {Paperback edition},
	ISBN = {0-521-65818-7/pbk},
	Pages = {xiv + 574},
	Year = {1997},
	Publisher = {Cambridge: Cambridge University Press},
	Language = {English},
	MSC2010 = {11Fxx 11-01 22-01 11F70 22E50 22E55 11S37 11F72 11F11 11F12 11R39 22E45 11R37 11R42 11F25 11F27 11F66},
	Zbl = {0911.11022}
}

@ARTICLE{Car99,
	author = {{Carlton}, D.},
	title = {On a Result of Atkin and Lehner},
	journal = {ArXiv Mathematics e-prints},
	url = {https://arxiv.org/abs/math/9903131},
	keywords = {Number Theory, 11F11},
	year = {1999},
	month = {3},
	adsurl = {http://adsabs.harvard.edu/abs/1999math......3131C},
	adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article {Ces18,
	AUTHOR = {Česnavičius, Kęstutis},
	TITLE = {The {M}anin constant in the semistable case},
	JOURNAL = {Compos. Math.},
	FJOURNAL = {Compositio Mathematica},
	VOLUME = {154},
	YEAR = {2018},
	NUMBER = {9},
	PAGES = {1889--1920},
	ISSN = {0010-437X},
	MRCLASS = {11G05 (11G10 11G18 14G35)},
	MRNUMBER = {3867287},
	DOI = {10.1112/s0010437x18007273},
	URL = {https://doi.org/10.1112/s0010437x18007273},
}

@online{Co05,
	author = {Conrad, Brian},
	title = {Impossibility theorems for elementary integration},
	url = {http://www.claymath.org/2005-academy-colloquium-series},
	note = {2005 Academy Colloquium Series},
	organization = {Clay Mathematics Institute},
	year = {2005},
}


@article {Co07,
	AUTHOR = {Conrad, Brian},
	TITLE = {Arithmetic moduli of generalized elliptic curves},
	JOURNAL = {J. Inst. Math. Jussieu},
	FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
	Journal de l'Institut de Math\'ematiques de Jussieu},
	VOLUME = {6},
	YEAR = {2007},
	NUMBER = {2},
	PAGES = {209--278},
	ISSN = {1474-7480},
	MRCLASS = {11G18 (11F25 14G22)},
	MRNUMBER = {2311664},
	MRREVIEWER = {Mihran Papikian},
	DOI = {10.1017/S1474748006000089},
}

@Book{ChCh,
	title = {微分几何讲义},
	publisher = {北京: 北京大学出版社},
	year = {2001},
	author = {{陈省身, 陈维桓}},
	ISBN = {978-7-301-05151-1},
	note = {第二版}
}

@Book{CL1,
	title = {黎曼几何引论 (上)},
	publisher = {北京: 北京大学出版社},
	year = {2002},
	author = {{陈维桓, 李兴校}}
}

@Book{CL2,
	title = {黎曼几何引论 (下)},
	publisher = {北京: 北京大学出版社},
	year = {2004},
	author = {{陈维桓, 李兴校}}
}

@Misc{Del71,
	Author = {Pierre {Deligne}},
	Title = {{Formes modulaires et repr\'esentations $\ell$-adiques.}},
	Year = {1971},
	Language = {French},
	HowPublished = {{S\'emin. Bourbaki 1968/69, No.355, 139-172.}},
	MSC2010 = {11F70},
	Zbl = {0206.49901}
}

@InProceedings {Del73,
	AUTHOR = {Deligne, P.},
	TITLE = {Formes modulaires et repr\'esentations de {${\rm GL}(2)$}},
	BOOKTITLE = {Modular functions of one variable, {II} ({P}roc. {I}nternat.
	{S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)},
	PAGES = {55--105. Lecture Notes in Math., Vol. 349},
	PUBLISHER = {Springer, Berlin},
	YEAR = {1973},
	MRCLASS = {10D15 (22E50 22E55)},
	MRNUMBER = {0347738},
	MRREVIEWER = {Roger E. Howe},
}


@article {Del74,
	AUTHOR = {Deligne, Pierre},
	TITLE = {La conjecture de {W}eil. {I}},
	JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
	FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications
	Math\'ematiques},
	NUMBER = {43},
	YEAR = {1974},
	PAGES = {273--307},
	ISSN = {0073-8301},
	MRCLASS = {14G13},
	MRNUMBER = {0340258},
	MRREVIEWER = {Nicholas M. Katz},
}

@article {DS74,
	AUTHOR = {Deligne, Pierre and Serre, Jean-Pierre},
	TITLE = {Formes modulaires de poids {$1$}},
	JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
	FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme
	S\'erie},
	VOLUME = {7},
	YEAR = {1974},
	PAGES = {507--530 (1975)},
	ISSN = {0012-9593},
	MRCLASS = {10D15 (12A65)},
	MRNUMBER = {0379379},
	MRREVIEWER = {Stephen Gelbart},
	URL = {http://www.numdam.org/item?id=ASENS_1974_4_7_4_507_0},
}

@incollection {DI95,
	AUTHOR = {Diamond, Fred and Im, John},
	TITLE = {Modular forms and modular curves},
	BOOKTITLE = {Seminar on {F}ermat's {L}ast {T}heorem ({T}oronto, {ON},
	1993--1994)},
	SERIES = {CMS Conf. Proc.},
	VOLUME = {17},
	PAGES = {39--133},
	PUBLISHER = {Amer. Math. Soc., Providence, RI},
	YEAR = {1995},
	MRCLASS = {11F11 (11F25 11G05 11G18)},
	MRNUMBER = {1357209},
}

@book {Di04,
	AUTHOR = {Dimca, Alexandru},
	TITLE = {Sheaves in topology},
	SERIES = {Universitext},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {2004},
	PAGES = {xvi+236},
	ISBN = {3-540-20665-5},
	MRCLASS = {55N30 (14F43 32S60 55N25)},
	MRNUMBER = {2050072},
	MRREVIEWER = {Ana Jerem\'{i}as L\'{o}pez},
	DOI = {10.1007/978-3-642-18868-8},
}

@book {DFN2,
	AUTHOR = {Dubrovin, B. A. and Fomenko, A. T. and Novikov, S. P.},
	TITLE = {Modern geometry---methods and applications. {P}art {II}},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {104},
	NOTE = {The geometry and topology of manifolds,
	Translated from the Russian by Robert G. Burns},
	PUBLISHER = {Springer-Verlag, New York},
	YEAR = {1985},
	PAGES = {xv+430},
	ISBN = {0-387-96162-3},
	MRCLASS = {53-01 (00A69 52-01 58-01 81-01)},
	MRNUMBER = {807945},
	DOI = {10.1007/978-1-4612-1100-6},
	URL = {http://dx.doi.org/10.1007/978-1-4612-1100-6},
}

@incollection {DR73,
	AUTHOR = {Deligne, P. and Rapoport, M.},
	TITLE = {Les sch\'emas de modules de courbes elliptiques},
	BOOKTITLE = {Modular functions of one variable, {II} ({P}roc. {I}nternat.
	{S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)},
	PAGES = {143--316. Lecture Notes in Math., Vol. 349},
	PUBLISHER = {Springer, Berlin},
	YEAR = {1973},
	MRCLASS = {14K10 (10D05)},
	MRNUMBER = {0337993},
	MRREVIEWER = {T. Oda},
}

@book {DS05,
	AUTHOR = {Diamond, Fred and Shurman, Jerry},
	TITLE = {A first course in modular forms},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {228},
	PUBLISHER = {Springer-Verlag, New York},
	YEAR = {2005},
	PAGES = {xvi+436},
	ISBN = {0-387-23229-X},
	MRCLASS = {11Fxx},
	MRNUMBER = {2112196},
	MRREVIEWER = {Henri Darmon},
}

@InCollection{El99,
	Author = {Noam D. {Elkies}},
	Title = {{The Klein quartic in number theory.}},
	BookTitle = {{The eightfold way. The beauty of Klein's quartic curve}},
	ISBN = {0-521-66066-1/hbk},
	Pages = {51--101},
	Year = {1999},
	Publisher = {Cambridge: Cambridge University Press},
	Language = {English},
	MSC2010 = {11G30 11G18 11D41},
	Zbl = {0991.11032}
}

@book {FGHK18,
	AUTHOR = {Fleig, Philipp and Gustafsson, Henrik P. A. and Kleinschmidt,
	Axel and Persson, Daniel},
	TITLE = {Eisenstein series and automorphic representations},
	SERIES = {Cambridge Studies in Advanced Mathematics},
	VOLUME = {176},
	NOTE = {With applications in string theory},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {2018},
	PAGES = {xviii+567},
	ISBN = {978-1-107-18992-8},
	MRCLASS = {11-02 (11F12 11F25 11F27 11F70 81-01 81T30 83E30)},
	MRNUMBER = {3793195},
	DOI = {10.1017/9781316995860},
}

@Book{FL14,
	title = {拓扑群引论},
	publisher = {北京: 科学出版社},
	year = {2014},
	author = {{黎景辉, 冯绪宁}},
	note = {第二版},
	isbn = {978-7-03-039779-9}
}

@Book{FLZ06,
	title = {群与代数表示引论},
	publisher = {中国科学技术大学出版社},
	year = {2006},
	author = {{冯克勤, 李尚志, 章璞}},
	note = {第二版},
	isbn = {978-7-312-01882-4}
}

@Book{KF1,
	title = {Lectures on the Theory of Elliptic Modular Forms, First Volume},
	publisher = {高等教育出版社},
	year = {2017},
	author = {Felix Klein AND Robert Fricke},
	note = {Art Dupre 译, 原出版于 1897 年},
	isbn = {978-7-04-047872-3}
}

@Book{KF2,
	title = {Lectures on the Theory of Elliptic Modular Forms, Second Volume},
	publisher = {高等教育出版社},
	year = {2017},
	author = {Felix Klein AND Robert Fricke},
	note = {Art Dupre 译, 原出版于 1897 年},
	isbn = {978-7-04-047837-3}
}

@book {Gra14,
	AUTHOR = {Grafakos, Loukas},
	TITLE = {Classical {F}ourier analysis},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {249},
	EDITION = {Third},
	PUBLISHER = {Springer, New York},
	YEAR = {2014},
	PAGES = {xviii+638},
	ISBN = {978-1-4939-1194-3},
	MRCLASS = {42-01 (42Bxx)},
	MRNUMBER = {3243734},
	MRREVIEWER = {Atanas G. Stefanov},
	DOI = {10.1007/978-1-4939-1194-3},
}

@Book{GW,
	title = {特殊函数概论},
	publisher = {北京: 北京大学出版社},
	year = {2010},
	series = {{中外物理学精品书系 $\cdot$ 经典系列}},
	volume = {5},
	author = {{王竹溪, 郭敦仁}},
	isbn = {978-7-301-20049-0}
}

@book {Hel01,
	AUTHOR = {Helgason, Sigurdur},
	TITLE = {Differential geometry, {L}ie groups, and symmetric spaces},
	SERIES = {Graduate Studies in Mathematics},
	VOLUME = {34},
	NOTE = {Corrected reprint of the 1978 original},
	PUBLISHER = {American Mathematical Society},
	ADDRESS = {Providence, RI},
	YEAR = {2001},
	PAGES = {xxvi+641},
	ISBN = {0-8218-2848-7},
	MRCLASS = {53C35 (22E10 22E46 22E60)},
	MRNUMBER = {1834454 (2002b:53081)},
}

@article {IS00,
	AUTHOR = {Iwaniec, H. and Sarnak, P.},
	TITLE = {Perspectives on the analytic theory of {$L$}-functions},
	NOTE = {GAFA 2000 (Tel Aviv, 1999)},
	JOURNAL = {Geom. Funct. Anal.},
	FJOURNAL = {Geometric and Functional Analysis},
	YEAR = {2000},
	NUMBER = {Special Volume, Part II},
	PAGES = {705--741},
	ISSN = {1016-443X},
	CODEN = {GFANFB},
	MRCLASS = {11M26 (11F67 11F70 11F72 11G40)},
	MRNUMBER = {1826269},
	MRREVIEWER = {Henry H. Kim},
	DOI = {10.1007/978-3-0346-0425-3_6},
}

@Book{Jiang,
	title = {同调论},
	publisher = {北京: 北京大学出版社},
	year = {2007},
	isbn = {9787301086766},
	author = {{姜伯驹}}
}

@article {JS81-1,
	AUTHOR = {Jacquet, H. and Shalika, J. A.},
	TITLE = {On {E}uler products and the classification of automorphic
	representations. {I}},
	JOURNAL = {Amer. J. Math.},
	FJOURNAL = {American Journal of Mathematics},
	VOLUME = {103},
	YEAR = {1981},
	NUMBER = {3},
	PAGES = {499--558},
	ISSN = {0002-9327},
	MRCLASS = {10D40 (12A67 22E55)},
	MRNUMBER = {618323},
	MRREVIEWER = {Freydoon Shahidi},
	DOI = {10.2307/2374103},
}

@book {Kat92,
	AUTHOR = {Katok, Svetlana},
	TITLE = {Fuchsian groups},
	SERIES = {Chicago Lectures in Mathematics},
	PUBLISHER = {University of Chicago Press, Chicago, IL},
	YEAR = {1992},
	PAGES = {x+175},
	ISBN = {0-226-42583-5},
	MRCLASS = {20H10 (30F35)},
	MRNUMBER = {1177168},
	MRREVIEWER = {I. Kra},
}

@InCollection{Kat10,
	Author = {Svetlana {Katok}},
	Title = {{Fuchsian groups, geodesic flows on surfaces of constant negative curvature and symbolic coding of geodesics.}},
	BookTitle = {{Homogeneous flows, moduli spaces and arithmetic. Proceedings of the Clay Mathematics Institute summer school, Centro di Recerca Mathematica Ennio De Giorgi, Pisa, Italy, June 11--July 6, 2007}},
	ISBN = {978-0-8218-4742-8/pbk},
	Pages = {243--320},
	Year = {2010},
	Publisher = {Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute},
	Language = {English},
	MSC2010 = {37D40 30F35 37B10 53D25},
	Zbl = {1243.37029}
}

@article {Ka73,
	AUTHOR = {Katz, Nicholas M.},
	TITLE = {{$p$}-adic properties of modular schemes and modular forms},
	BOOKTITLE = {Modular functions of one variable, {III} ({P}roc. {I}nternat.
	{S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)},
	PAGES = {69--190. Lecture Notes in Mathematics, Vol. 350},
	PUBLISHER = {Springer, Berlin},
	YEAR = {1973},
	MRCLASS = {10D15 (14D20)},
	MRNUMBER = {0447119},
	MRREVIEWER = {V. V. Sokurov},
}

@online{Kei,
	author = {Keith Conrad},
	title = {The Conductor Ideal},
	url = {http://www.math.uconn.edu/~kconrad/blurbs/gradnumthy/conductor.pdf},
}


@book {Ko72,
	AUTHOR = {Kobayashi, Shoshichi},
	TITLE = {Transformation groups in differential geometry},
	SERIES = {Classics in Mathematics},
	NOTE = {Reprint of the 1972 edition},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {1995},
	PAGES = {viii+182},
	ISBN = {3-540-58659-8},
	MRCLASS = {53C10 (53-02)},
	MRNUMBER = {1336823},
}

@book {KM85,
	AUTHOR = {Katz, Nicholas M. and Mazur, Barry},
	TITLE = {Arithmetic moduli of elliptic curves},
	SERIES = {Annals of Mathematics Studies},
	VOLUME = {108},
	PUBLISHER = {Princeton University Press, Princeton, NJ},
	YEAR = {1985},
	PAGES = {xiv+514},
	ISBN = {0-691-08352-5},
	MRCLASS = {11G05 (11F11 14G25 14K15)},
	MRNUMBER = {772569},
	MRREVIEWER = {Kenneth A. Ribet},
	DOI = {10.1515/9781400881710},
}

@article {KV03,
	AUTHOR = {Kohel, David R. and Verrill, Helena A.},
	TITLE = {Fundamental domains for {S}himura curves},
	NOTE = {Les XXII{\`e}mes Journ{\'e}es Arithmetiques (Lille, 2001)},
	JOURNAL = {J. Th\'eor. Nombres Bordeaux},
	FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
	VOLUME = {15},
	YEAR = {2003},
	NUMBER = {1},
	PAGES = {205--222},
	ISSN = {1246-7405},
	MRCLASS = {11G18},
	MRNUMBER = {2019012},
	MRREVIEWER = {Hui Xue},
	URL = {http://jtnb.cedram.org/item?id=JTNB_2003__15_1_205_0},
}

@Book{LZ,
	title = {模曲线导引 (第二版)},
	publisher = {北京: 北京大学出版社},
	year = {2014},
	author = {{黎景辉, 赵春来}},
	isbn = {978-7-301-23438-9}
}

@book {Lee13,
	AUTHOR = {Lee, John M.},
	TITLE = {Introduction to smooth manifolds},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {218},
	EDITION = {Second},
	PUBLISHER = {Springer, New York},
	YEAR = {2013},
	PAGES = {xvi+708},
	ISBN = {978-1-4419-9981-8},
	MRCLASS = {58-01 (53-01 57-01)},
	MRNUMBER = {2954043},
}

@Book{LL99,
	title = {模形式讲义},
	publisher = {北京大学出版社},
	year = {1999},
	series = {天元研究生数学丛书},
	author = {{陆洪文, 李云峰}},
	isbn = {7-301-04045-8}
}

@Book{Li1,
  title = {代数学方法 (第一卷)},
  publisher = {北京: 高等教育出版社},
  year = {2019},
  series = {现代数学基础丛书},
  volume = {67.1},
  author = {{李文威}},
  isbn = {978-7-04-050725-6}
}

@article {Li75,
	AUTHOR = {Li, Wen Ch'ing Winnie},
	TITLE = {Newforms and functional equations},
	JOURNAL = {Math. Ann.},
	FJOURNAL = {Mathematische Annalen},
	VOLUME = {212},
	YEAR = {1975},
	PAGES = {285--315},
	ISSN = {0025-5831},
	MRCLASS = {10D05},
	MRNUMBER = {0369263},
	MRREVIEWER = {R. A. Rankin},
	DOI = {10.1007/BF01344466},
}

@book {Mc01,
	AUTHOR = {McCleary, John},
	TITLE = {A user's guide to spectral sequences},
	SERIES = {Cambridge Studies in Advanced Mathematics},
	VOLUME = {58},
	EDITION = {Second},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {2001},
	PAGES = {xvi+561},
	ISBN = {0-521-56759-9},
	MRCLASS = {55Txx (18G40)},
	MRNUMBER = {1793722},
	MRREVIEWER = {Frank Neumann},
}

@book {Mac15,
	AUTHOR = {Macdonald, I. G.},
	TITLE = {Symmetric functions and {H}all polynomials},
	SERIES = {Oxford Classic Texts in the Physical Sciences},
	EDITION = {Second},
	NOTE = {With contribution by A. V. Zelevinsky and a foreword by
	Richard Stanley,
	Reprint of the 2008 paperback edition [ MR1354144]},
	PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
	YEAR = {2015},
	PAGES = {xii+475},
	ISBN = {978-0-19-873912-8},
	MRCLASS = {05E05 (01A75 05-02 20C30 20C33 20K01 33C80 33D80)},
	MRNUMBER = {3443860},
}


@misc{milneMF,
	author={Milne, James S.},
	title={Modular Functions and Modular Forms (v1.30)},
	year={2012},
	note={可于 \url{www.jmilne.org/math} 下载},
	pages={138}
}

@book {Mum76,
	AUTHOR = {Mumford, David},
	TITLE = {Algebraic geometry. {I}},
	NOTE = {Complex projective varieties,
	Grundlehren der Mathematischen Wissenschaften, No. 221},
	PUBLISHER = {Springer-Verlag, Berlin-New York},
	YEAR = {1976},
	PAGES = {x+186},
	MRCLASS = {14-XX},
	MRNUMBER = {0453732},
	MRREVIEWER = {Gerhard Pfister},
}

@book {Mum91,
	AUTHOR = {Mumford, David},
	TITLE = {Tata lectures on theta. {III}},
	SERIES = {Modern Birkh\"auser Classics},
	NOTE = {With collaboration of Madhav Nori and Peter Norman,
	Reprint of the 1991 original},
	PUBLISHER = {Birkh\"auser Boston, Inc., Boston, MA},
	YEAR = {2007},
	PAGES = {viii+202},
	ISBN = {978-0-8176-4570-0},
	MRCLASS = {14K25 (11F27 14K05 22D10)},
	MRNUMBER = {2307769},
	DOI = {10.1007/978-0-8176-4578-6},
}

@book {Mum99,
	AUTHOR = {Mumford, David},
	TITLE = {The {Red Book} of varieties and schemes},
	SERIES = {Lecture Notes in Mathematics},
	VOLUME = {1358},
	EDITION = {expanded},
	NOTE = {Includes the Michigan lectures (1974) on curves and their
	Jacobians,
	With contributions by Enrico Arbarello},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {1999},
	PAGES = {x+306},
	ISBN = {3-540-63293-X},
	MRCLASS = {14-01 (14A15 14H40 14H42)},
	MRNUMBER = {1748380},
	MRREVIEWER = {Arnaud Beauville},
	DOI = {10.1007/b62130},
}

@Book{Mei13,
	title = {黎曼曲面导引},
	publisher = {北京: 北京大学出版社},
	year = {2013},
	author = {{梅加强}},
	isbn = {978-7-301-20053-7}
}

@book {Mi89,
	AUTHOR = {Miyake, Toshitsune},
	TITLE = {Modular forms},
	SERIES = {Springer Monographs in Mathematics},
	EDITION = {English},
	NOTE = {Translated from the 1976 Japanese original by Yoshitaka Maeda},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {2006},
	PAGES = {x+335},
	ISBN = {978-3-540-29592-1},
	MRCLASS = {11F11 (11F25 11F72)},
	MRNUMBER = {2194815},
}

@incollection {M07,
	AUTHOR = {Michel, Philippe},
	TITLE = {Analytic number theory and families of automorphic
	{$L$}-functions},
	BOOKTITLE = {Automorphic forms and applications},
	SERIES = {IAS/Park City Math. Ser.},
	VOLUME = {12},
	PAGES = {181--295},
	PUBLISHER = {Amer. Math. Soc., Providence, RI},
	YEAR = {2007},
	MRCLASS = {11F66 (11M26 11M41)},
	MRNUMBER = {2331346},
	MRREVIEWER = {Emmanuel P. Royer},
}

@article {MV10,
	AUTHOR = {Michel, Philippe and Venkatesh, Akshay},
	TITLE = {The subconvexity problem for {${\rm GL}_2$}},
	JOURNAL = {Publ. Math. Inst. Hautes \'Etudes Sci.},
	FJOURNAL = {Publications Math\'ematiques. Institut de Hautes \'Etudes
	Scientifiques},
	NUMBER = {111},
	YEAR = {2010},
	PAGES = {171--271},
	ISSN = {0073-8301},
	MRCLASS = {11F67 (11F37 11F70 22E55 58J51)},
	MRNUMBER = {2653249},
	MRREVIEWER = {Andre Reznikov},
	DOI = {10.1007/s10240-010-0025-8},
}

@incollection {MR05,
	AUTHOR = {Martin, Fran\c{c}ois and Royer, Emmanuel},
	TITLE = {Formes modulaires et p\'eriodes},
	BOOKTITLE = {Formes modulaires et transcendance},
	SERIES = {S\'emin. Congr.},
	VOLUME = {12},
	PAGES = {1--117},
	PUBLISHER = {Soc. Math. France, Paris},
	YEAR = {2005},
	MRCLASS = {11F67 (11F11 11F25)},
	MRNUMBER = {2186573},
	MRREVIEWER = {Dominic A. Lanphier},
}

@article {Ni13,
	AUTHOR = {Niles, Andrew},
	TITLE = {Moduli of elliptic curves via twisted stable maps},
	JOURNAL = {Algebra Number Theory},
	FJOURNAL = {Algebra \& Number Theory},
	VOLUME = {7},
	YEAR = {2013},
	NUMBER = {9},
	PAGES = {2141--2202},
	ISSN = {1937-0652},
	MRCLASS = {11G18 (14D23 14H10 14H52 14K10)},
	MRNUMBER = {3152011},
	MRREVIEWER = {Pete L. Clark},
	DOI = {10.2140/ant.2013.7.2141},
	URL = {https://doi.org/10.2140/ant.2013.7.2141},
}

@Book{PP,
	title = {模形式导引},
	publisher = {北京: 北京大学出版社},
	year = {2002},
	author = {{潘承洞, 潘承彪}}
}

@Article{Ra25,
	Author = {T. {Rad\'o}},
	Title = {{\"Uber den Begriff der Riemannschen Fl\"ache.}},
	FJournal = {{Acta Litterarum ac Scientiarum. Regiae Universitatis Hungaricae Francisco-Josephinae. Sectio Scientiarum Mathematicarum}},
	Journal = {{Acta Litt. Sci. Szeged}},
	Volume = {2},
	Pages = {101--121},
	Year = {1925},
	Language = {German},
	Zbl = {51.0273.01}
}

@article {Rib77,
	AUTHOR = {Ribet, Kenneth A.},
	TITLE = {Galois representations attached to eigenforms with
	{N}ebentypus},
	BOOKTITLE = {Modular functions of one variable, {V} ({P}roc. {S}econd
	{I}nternat. {C}onf., {U}niv. {B}onn, {B}onn, 1976)},
	PAGES = {17--51. Lecture Notes in Math., Vol. 601},
	PUBLISHER = {Springer, Berlin},
	YEAR = {1977},
	MRCLASS = {10D15},
	MRNUMBER = {0453647},
	MRREVIEWER = {Hiroshi Saito},
}

@book {Ro17,
	AUTHOR = {Roy, Ranjan},
	TITLE = {Elliptic and modular functions from {G}auss to {D}edekind to
	{H}ecke},
	PUBLISHER = {Cambridge University Press, Cambridge},
	YEAR = {2017},
	PAGES = {xiii+475},
	ISBN = {978-1-107-15938-9},
	MRCLASS = {11-01 (01A55 01A60 11Fxx)},
	MRNUMBER = {3702031},
	MRREVIEWER = {Paul M. Jenkins},
	DOI = {10.1017/9781316671504},
}

@incollection {Sai16,
	AUTHOR = {Saito, Takeshi},
	TITLE = {An introduction to {G}alois representations and modular forms},
	BOOKTITLE = {Autour des motifs---\'Ecole d'\'et\'e {F}ranco-{A}siatique de
	{G}\'eom\'etrie {A}lg\'ebrique et de {T}h\'eorie des
	{N}ombres/{A}sian-{F}rench {S}ummer {S}chool on {A}lgebraic
	{G}eometry and {N}umber {T}heory. {V}ol. {III}},
	SERIES = {Panor. Synth\`eses},
	VOLUME = {49},
	PAGES = {1--27},
	PUBLISHER = {Soc. Math. France, Paris},
	YEAR = {2016},
	MRCLASS = {11F80 (11F03 11G18)},
	MRNUMBER = {3642467},
	MRREVIEWER = {David Hansen},
}

@article {Sch90,
	AUTHOR = {Scholl, A. J.},
	TITLE = {Motives for modular forms},
	JOURNAL = {Invent. Math.},
	FJOURNAL = {Inventiones Mathematicae},
	VOLUME = {100},
	YEAR = {1990},
	NUMBER = {2},
	PAGES = {419--430},
	ISSN = {0020-9910},
	MRCLASS = {11F67 (11F80 11G09 14F30)},
	MRNUMBER = {1047142},
	MRREVIEWER = {M. Ram Murty},
	DOI = {10.1007/BF01231194},
}

@book {Se73,
	AUTHOR = {Serre, J.-P.},
	TITLE = {A course in arithmetic},
	NOTE = {Translated from the French,
	Graduate Texts in Mathematics, No. 7},
	PUBLISHER = {Springer-Verlag, New York-Heidelberg},
	YEAR = {1973},
	PAGES = {viii+115},
	MRCLASS = {12-02 (10CXX 10DXX)},
	MRNUMBER = {0344216},
}

@book {Shi71,
	AUTHOR = {Shimura, Goro},
	TITLE = {Introduction to the arithmetic theory of automorphic
	functions},
	SERIES = {Publications of the Mathematical Society of Japan},
	VOLUME = {11},
	NOTE = {Reprint of the 1971 original,
	Kan\^o Memorial Lectures, 1},
	PUBLISHER = {Princeton University Press, Princeton, NJ},
	YEAR = {1994},
	PAGES = {xiv+271},
	ISBN = {0-691-08092-5},
	MRCLASS = {11Fxx (11-02 11G05 11G40)},
	MRNUMBER = {1291394},
}

@book {Sil09,
	AUTHOR = {Silverman, Joseph H.},
	TITLE = {The arithmetic of elliptic curves},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {106},
	EDITION = {Second},
	PUBLISHER = {Springer, Dordrecht},
	YEAR = {2009},
	PAGES = {xx+513},
	ISBN = {978-0-387-09493-9},
	MRCLASS = {11-02 (11G05 11G20 14H52 14K15)},
	MRNUMBER = {2514094},
	MRREVIEWER = {Vasil\cprime  \=I. Andr\=\i \u\i chuk},
	DOI = {10.1007/978-0-387-09494-6},
}

@book {St07,
	AUTHOR = {Stein, William},
	TITLE = {Modular forms, a computational approach},
	SERIES = {Graduate Studies in Mathematics},
	VOLUME = {79},
	NOTE = {With an appendix by Paul E. Gunnells},
	PUBLISHER = {American Mathematical Society, Providence, RI},
	YEAR = {2007},
	PAGES = {xvi+268},
	ISBN = {978-0-8218-3960-7},
	MRCLASS = {11F11 (11-01 11F67 11Y16 11Y35)},
	MRNUMBER = {2289048},
	MRREVIEWER = {Imin Chen},
	DOI = {10.1090/gsm/079},
}

@Book{Ste17,
	title = {复分析},
	publisher = {北京: 机械工业出版社},
	year = {2017},
	series = {普林斯顿分析译丛},
	author = {{M. 斯坦恩}},
	isbn = {978-7-111-55297-0}
}

@article{Sti01,
	ISSN = {00029890, 19300972},
	URL = {http://www.jstor.org/stable/2695682},
	author = {John Stillwell},
	journal = {The American Mathematical Monthly},
	number = {1},
	pages = {70-76},
	publisher = {Mathematical Association of America},
	title = {Modular Miracles},
	volume = {108},
	year = {2001}
}

@article {TW95,
	AUTHOR = {Taylor, Richard and Wiles, Andrew},
	TITLE = {Ring-theoretic properties of certain {H}ecke algebras},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {141},
	YEAR = {1995},
	NUMBER = {3},
	PAGES = {553--572},
	ISSN = {0003-486X},
	MRCLASS = {11G18 (11D41 11F11 11R34 13C40)},
	MRNUMBER = {1333036},
	MRREVIEWER = {Karl Rubin},
	DOI = {10.2307/2118560},
}

@Book{Ten11,
	title = {解析与概率数论导引},
	publisher = {北京: 高等教育出版社},
	year = {2011},
	series = {法兰西数学精品译丛},
	author = {{G. 特伦鲍姆}},
	isbn = {978-7-04-029467-5}
}


@book {Ti86,
	AUTHOR = {Titchmarsh, E. C.},
	TITLE = {Introduction to the theory of {F}ourier integrals},
	EDITION = {Third},
	PUBLISHER = {Chelsea Publishing Co., New York},
	YEAR = {1986},
	PAGES = {x+394},
	ISBN = {0-8284-0324-4},
	MRCLASS = {42-03 (01A75)},
	MRNUMBER = {942661},
}

@Book{TW06,
	title = {复变函数简明教程},
	publisher = {北京大学出版社},
	year = {2006},
	series = {北京大学数学教学系列丛书},
	author = {{谭小江, 伍胜健}},
	isbn = {978-7-301-08530-1}
}

@Book{WLC,
	title = {紧黎曼曲面引论},
	publisher = {北京: 高等教育出版社},
	year = {2016},
	series = {现代数学基础},
	volume = {60},
	author = {{伍鸿熙, 吕以辇, 陈志华}},
	isbn = {978-7-04-046862-5}
}

@incollection {Ve61,
	AUTHOR = {Verdier, Jean-Louis},
	TITLE = {Sur les int\'egrales attach\'ees aux formes automorphes (d'apr\`es
	{G}oro {S}himura)},
	BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 6},
	PAGES = {Exp.\ No.\ 216, 149--175},
	PUBLISHER = {Soc. Math. France, Paris},
	YEAR = {1995},
	MRCLASS = {11F67 (11F12)},
	MRNUMBER = {1611802},
}

@book {Vi80,
	AUTHOR = {Vign{\'e}ras, Marie-France},
	TITLE = {Arithm\'etique des alg\`ebres de quaternions},
	SERIES = {Lecture Notes in Mathematics},
	VOLUME = {800},
	PUBLISHER = {Springer, Berlin},
	YEAR = {1980},
	PAGES = {vii+169},
	ISBN = {3-540-09983-2},
	MRCLASS = {12A80 (16A18)},
	MRNUMBER = {580949},
	MRREVIEWER = {J. H. H. Chalk},
}

@book {Voi,
	AUTHOR = {Voight, John},
	TITLE = {Quaternion algebras},
	SERIES = {Graduate Texts in Mathematics},
	VOLUME = {288},
	PUBLISHER = {Springer, Cham},
	YEAR = {[2021] \copyright 2021},
	PAGES = {xxiii+885},
	ISBN = {978-3-030-56692-0; 978-3-030-56694-4},
	MRCLASS = {11R52 (11-02 11E12 11F06 16H05 16U60 20H10)},
	MRNUMBER = {4279905},
	DOI = {10.1007/978-3-030-56694-4},
	URL = {https://doi.org/10.1007/978-3-030-56694-4},
}

@book {Weil76,
	AUTHOR = {Weil, Andr{\'e}},
	TITLE = {Elliptic functions according to {E}isenstein and {K}ronecker},
	SERIES = {Classics in Mathematics},
	NOTE = {Reprint of the 1976 original},
	PUBLISHER = {Springer-Verlag, Berlin},
	YEAR = {1999},
	PAGES = {viii+93},
	ISBN = {3-540-65036-9},
	MRCLASS = {11-03 (01A55 33E05)},
	MRNUMBER = {1723749},
}

@Book{Xi18,
	title = {基础代数（第二卷）},
	publisher = {北京: 科学出版社},
	year = {2018},
	author = {{席南华}},
	isbn = {978-7-03-056033-9}
}

@Book{Xiong,
	title = {点集拓扑讲义},
	publisher = {北京: 高等教育出版社},
	year = {2011},
	author = {{熊金城}},
	note = {第四版},
	isbn = {978-7-04-032237-8}
}

@Book{Ya14,
	title = {代数曲线},
	publisher = {上海: 复旦大学出版社},
	year = {2014},
	author = {{杨劲根}},
	isbn = {978-7-309-10991-7}
}

@Book{You,
	title = {基础拓扑学讲义},
	publisher = {北京: 北京大学出版社},
	year = {1997},
	author = {{尤承业}},
	isbn = {978-7-301-03103-2}
}

@book {YZZ,
	AUTHOR = {Yuan, Xinyi and Zhang, Shou-Wu and Zhang, Wei},
	TITLE = {The {G}ross-{Z}agier formula on {S}himura curves},
	SERIES = {Annals of Mathematics Studies},
	VOLUME = {184},
	PUBLISHER = {Princeton University Press, Princeton, NJ},
	YEAR = {2013},
	PAGES = {x+256},
	ISBN = {978-0-691-15592-0},
	MRCLASS = {11G18 (11F70 14G35)},
	MRNUMBER = {3237437},
	MRREVIEWER = {Ernest Hunter Brooks},
}

@article {Zu79,
	AUTHOR = {Zucker, Steven},
	TITLE = {Hodge theory with degenerating coefficients. {$L_{2}$}\
	cohomology in the {P}oincar\'e metric},
	JOURNAL = {Ann. of Math. (2)},
	FJOURNAL = {Annals of Mathematics. Second Series},
	VOLUME = {109},
	YEAR = {1979},
	NUMBER = {3},
	PAGES = {415--476},
	ISSN = {0003-486X},
	MRCLASS = {14C30 (14D05 14D20 32G20)},
	MRNUMBER = {534758},
	MRREVIEWER = {Phillip Griffiths},
	DOI = {10.2307/1971221},
	URL = {https://doi.org/10.2307/1971221},
}
